Any line can be graphed using two points. Select two x x values, and plug them into the equation to find the corresponding y y values. Any line can be graphed using two points. Select two x x values, and plug them into the equation to find the corresponding y y values.
Which of the following lines are perpendicular to the line y= -1/2x +4 ? (you may choose more than one answer)
A. 2x - y = 1
B. y = 2x
C. 2x + y = 1
D. 1/2x - y =2
E. 2x - y = 3
Answer:
ABE
Step-by-step explanation:
Perpendicular means the slope of the line and the answer are reciprocal to each other.
The slope of the line is -1/2, which means the slope of the answer should be 2.
From A we got: y=2x-1
B:y=2x
C:y=-2x+1
D:y=-1/2x-2
E:y=2x-3
So the answer is ABE
F(x)=-2x+4 g(x)= -2x^3 -3
find f(4) and g(-3)
simplify as much as possible
A car salesperson works 40 hours per week at a job where he has two options for being paid. Option A is an hourly wage of $16. Option B is a commission rate on weekly sales, and he averages $6400 in sales each week. What commission rate does he need to have to earn the same amount with the two options?
10%
since he works 40 hours per week and gets $16 an hour, that would be 16 * 40 which is 640, so that means he needs a commission rate of 10% as 10% of 6400 is 640.
hope this is helpful!
How do I find the inverse?
g(x) as given has no inverse because there are instances of two x values giving the same value of g(x). For instance,
x = -1 ⇒ g(-1) = 4 (-1 + 3)² - 8 = 8
x = -5 ⇒ g(-5) = 4 (-5 + 3)² - 8 = 8
Only a one-to-one function can have an inverse. g(x) is not one-to-one.
However, if we restrict the domain of g(x), we can find an inverse over that domain. Let [tex]g^{-1}(x)[/tex] be the inverse of g(x). Then by definition of inverse function,
[tex]g\left(g^{-1}(x)\right) = 4 \left(g^{-1}(x) + 3\right)^2 - 8 = x[/tex]
Solve for the inverse:
[tex]4 \left(g^{-1}(x) + 3\right)^2 - 8 = x[/tex]
[tex]4 \left(g^{-1}(x) + 3\right)^2 = x + 8[/tex]
[tex]\left(g^{-1}(x) + 3\right)^2 = \dfrac{x + 8}4[/tex]
[tex]\sqrt{\left(g^{-1}(x) + 3\right)^2} = \sqrt{\dfrac{x + 8}4}[/tex]
[tex]\left| g^{-1}(x) + 3 \right| = \dfrac{\sqrt{x+8}}2[/tex]
Recall the definition of absolute value:
[tex]|x| = \begin{cases}x & \text{if }x\ge0\\-x&\text{if }x<0\end{cases}[/tex]
This means there are two possible solutions for the inverse of g(x) :
• if [tex]g^{-1}(x) + 3 \ge 0[/tex], then
[tex]g^{-1}(x) + 3 = \dfrac{\sqrt{x+8}}2 \implies g^{-1}(x) = -3+\dfrac{\sqrt{x+8}}2[/tex]
• otherwise, if [tex]g^{-1}(x)+3<0[/tex], then
[tex]-\left(g^{-1}(x) + 3\right) = \dfrac{\sqrt{x+8}}2 \implies g^{-1}(x) = -3-\dfrac{\sqrt{x+8}}2[/tex]
Which we choose as the inverse depends on how we restrict the domain of g(x). For example:
Remember that the inverse must satisfy
[tex]g\left(g^{-1}(x)\right) = x[/tex]
In the first case above, [tex]g^{-1}(x) + 3 \ge 0[/tex], or [tex]g^{-1}(x) \ge -3[/tex]. This suggests that we could restrict the domain of g(x) to be [tex]x \ge -3[/tex].
Then as long as [tex]x \ge -3[/tex], the inverse is
[tex]g^{-1}(x) = -3+\dfrac{\sqrt{x+8}}2[/tex]
please help, thank you!
Answer:
x = 6
Step-by-step explanation:
45°+45°+m∆2 = 180°
m∆2 = 90°
; m∆2 = 16x-6
90 = 16x-6
96 = 16x
96/16 = x
6 = x
What is the simplest form of ^4sqrt324x^6y^8
[tex]\rm{\green{Answer \: is:-}}[/tex]
[tex]3xy \sqrt[24]{ {4x}^{2} } [/tex](3xy^2 4 sqrt 4x^2)
Step-by-step explanation:
Hope it's helpful to youLet's see
[tex]\\ \rm\Rrightarrow \sqrt[4]{324x^6y^8}[/tex]
[tex]\\ \rm\Rrightarrow \sqrt{4}{18^2x^6y^8}[/tex]
m√a^n=a^n/m[tex]\\ \rm\Rrightarrow 18^{2/4}x^{6/4}y^{8/4}[/tex]
[tex]\\ \rm\Rrightarrow \sqrt{18}x^{3/2}y^2[/tex]
[tex]\\ \rm\Rrightarrow \sqrt{18}\sqrt[2]{x^3}y^2[/tex]
True or false: In(x+y)- In(x+y)=0. Explain your thinking.
[tex]\huge \bf༆ Answer ༄[/tex]
Let's solve ~
[tex] \sf ln(x + y) - ln(x + y) [/tex][tex] \sf ln( \frac{x + y}{x + y} ) [/tex][tex] \sf ln(1) [/tex][tex] \sf0[/tex][ Since, ln (1) = 0 ]
Therefore, the statement is true ~
Answer:
In(x+y) - In(x+y)
= In([tex] \frac{x + y}{x + y} [/tex])
= In(1)
=0
Hence, the statement is true!!
Which equation has a unite rate of 0.5
Answer:
r=0.5d
Step-by-step explanation:
Two parallel lines are crossed by a
transversal.
Answer:
h = 60˚
Step-by-step explanation:
Look at where it shows the 120˚, and its verticle angle. Verticle angles are congruent, or the same meaning it's also 120˚.
Then go to its corresponding angle, which is next to the h. Corresponding angles are also congruent, or the same. I'll call this angle m to save time and hopefully confusion.
Now, h and m are supplementary angles, meaning they add up to 180˚.
180˚ - 120˚, or 60˚ is your answer.
h = 60˚
The solution is, the value of h is, h = 60˚
What is an angle?In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.
here, we have,
from the given figure, we get,
Look at where it shows the 120˚, and its vertical angle.
Vertical angles are congruent, or the same meaning it's also 120˚.
now, we have,
Then go to its corresponding angle, which is next to the h. Corresponding angles are also congruent, or the same.
We call this angle m to save time and hopefully confusion.
Now, h and m are supplementary angles,
meaning they add up to 180˚.
so, we have,
180˚ - 120˚,
or 60˚ is your answer.
i.e.
h = 60˚
Hence, The solution is, the value of h is, h = 60˚
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Daniel has 7 photo books. Each book has 5 pages with 1 photo on each page. He gets 2 more pages with 1 photo on each page.
How many total photos does Daniel have? Enter the answer in the box
Solve the system by substitution
8x + y = 4
-2x - 8 =y
(answer as an ordered pair)
PLEASE HELP QUESTION IN PICTURE.
Answer:
D
Step-by-step explanation:
Answer:
12 square units
Step-by-step explanation:
once you plot the triangle on a graph, you'll see that the height is 4 sq inches, while the base is 6. multiply those two and you get 24, and divide that by 2. thats 12
need help on this one
Answer:
[tex]g(x)=\frac{1}{8} x^{3} -\frac{3}{2} x^{2} +6x-5[/tex]
Step-by-step explanation:
[tex]x=2\sqrt[3]{y-3} +4[/tex]
switch the x and y, then use order of opperations
Ali is x years old Ali’s aunt is four times as old as Ali will be in 5 years Find the present age of Ali’s aunt
Answer:
Ali= x + 5
Aunt= 4x
1. What translation is made from f(x) → -f(x)?
Answer: this is a reflection across the x-axis
Helppppppppppp!!!!!!!!!!!
Sarah work as a receptionist in a busy dental office she made $350.15 after 23.5 hours of work how much was Sarah paid per hour
Answer: $14.9/hr
Step-by-step explanation: you divide $350.15 by 23.5hr to get how much she makes an hour
____________ system is a system where each transaction is entered twice, once on the debit side and once on the credit side. *
Options -
Single entry
Double entry
Answer:
Double-entry bookkeeping,in accounting, is a system of bookkeeping where every entry to an account requires a corresponding and opposite entry to a different account. The double-entry system has two equal and corresponding sides known as debit and credit.
Step-by-step explanation:P I E C K_______I would appreciate if some would help me w 13 ^^ ty
help please anybody which too are correct
the 1st and 2nd ones r correct
Step-by-step explanation:
hope this helps
Can someone help me with this? Last one is -1/4 btw
(This is easy, but confusing) What is 1+ 2+ 3+ 4+ 5 -6 divided by 7 times 8 - 9???
Answer:
=-0.8
Step-by-step explanation:
1+2+3+4+5-6÷7×8-9
15-6÷7×8-9
15-0.85×8- 9
15-6.8-9
=-0.8
By which rule are these triangles congruent?
АА
SAS
SSA
AAS
Answer:
it's AAS is my opinion
Step-by-step explanation:
Answer:
AAS
Step-by-step explanation:
we can eliminate two of the answer choices from the start. AA and SSA do not prove triangle congruence. we are then left with SAS and AAS. we can see that there is one pair of sides and one pair of angles marked congruent on the triangles. the triangles are formed by intersecting lines which form vertical angles. according to the vertical angles theorem, those two angles will be congruent. therefore, these triangles are proven congruent by AAS. hope this helps!
what number set does -7 belong to
Answer:
Integers
Step-by-step explanation:
Integers include both positive and negative numbers. This is the simplest answer. This set doesn't include any fractions or decimals. Integers are a subset of rational numbers, which are a subset of real numbers, which are a subset of complex numbers.
Please help me with this
Answer:
A and F
Step-by-step explanation:
help ASAP please which too answers are correct
Answer:
20 (30 + d)
Step-by-step explanation:
your welcome :)
Answer:
2 and 4th one.
Step-by-step explanation:
Hopes This Helps :)
The sum of 6 consecutive integers is 387. What is the sixth number in this sequence.
Answer:
67!
Step-by-step explanation:
A way to look at it is, since the number is 387, it can be broken into 6 parts. 50x6 is about 300. That leaves 87 to be left over. So it's safe to assume each number will be around 50-60, so I started to add up six consecutive numbers together until I reached my final set of numbers to reach 387.
My numbers were 62+63+64+65+66+67=387
I hope this makes sense!
The sporting goods store with 30% off all items . If a skateboard is normally $70 , what would be the approximate sale price of the skateboard
Answer:
$49
Step-by-step explanation:
70 x 30%
70 x 0.3
21
70 - 21
49
please help me if you know thank you :)))
Answer:
a) -inf b) DNE c) 2 d) 3 e) 1
Step-by-step explanation:
Im not 100% sure about c and d
If you walked for 5 minutes, what would the ratio of feet to minutes be? Use your steps to minutes ratio from Task 1 to determine a ratio of feet to minutes. Show your calculation.
Answer:
2:1 RATIO
Step-by-step explanation:
If you walked for 5 minutes, the ratio of feet to minutes would be approximately 2.1665 feet per minute.
How did we get the value?To determine the ratio of feet to minutes, we can use the steps to minutes ratio from Task 1. Let's find the steps-to-feet ratio first:
Steps:Feet
4:10
6:15
12:30
30:40
Now, let's calculate the steps-to-feet ratio by finding the average of the steps-to-feet ratio from all the given data points:
Average Steps-to-Feet Ratio = [(10/4) + (15/6) + (30/12) + (40/30)] / 4
Average Steps-to-Feet Ratio = (2.5 + 2.5 + 2.5 + 1.333) / 4
Average Steps-to-Feet Ratio = 2.1665
Now, for the question at hand, if you walked for 5 minutes, the ratio of feet to minutes would be approximately 2.1665 feet per minute.
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